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Finding the Third Proportional to 14,429,206 and 31,744,219

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Solution

The third proportional to 14,429,206 and 31,744,219 is: 69,837,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429,206 : 31,744,219 = 31,744,219 : x
  2. Step 2: Convert to fraction form
    14,429,206/31,744,219 = 31,744,219/x
  3. Step 3: Cross multiply
    14,429,206x = 31,744,219 × 31,744,219
  4. Step 4: Simplify right side
    14,429,206x = 1,007,695,439,919,961
  5. Step 5: Solve for x
    x = 1,007,695,439,919,961/14,429,206
  6. Step 6: Final answer
    x = 69,837,206.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.